46005584128000 has 288 divisors, whose sum is σ = 133545107634120. Its totient is φ = 15773338828800.

The previous prime is 46005584127949. The next prime is 46005584128057. The reversal of 46005584128000 is 82148550064.

It can be written as a sum of positive squares in 4 ways, for example, as 2022584574976 + 43982999553024 = 1422176^2 + 6631968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10710232 + ... + 14377768.

Almost surely, 2^{46005584128000} is an apocalyptic number.

46005584128000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46005584128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66772553817060).

46005584128000 is an abundant number, since it is smaller than the sum of its proper divisors (87539523506120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46005584128000 is an equidigital number, since it uses as much as digits as its factorization.

46005584128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667588 (or 3667551 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 46005584128000 in words is "forty-six trillion, five billion, five hundred eighty-four million, one hundred twenty-eight thousand".